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Finding the Third Proportional to 37,192 and 52,020

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Solution

The third proportional to 37,192 and 52,020 is: 72,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,192 : 52,020 = 52,020 : x
  2. Step 2: Convert to fraction form
    37,192/52,020 = 52,020/x
  3. Step 3: Cross multiply
    37,192x = 52,020 × 52,020
  4. Step 4: Simplify right side
    37,192x = 2,706,080,400
  5. Step 5: Solve for x
    x = 2,706,080,400/37,192
  6. Step 6: Final answer
    x = 72,759.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.